Results 111 to 120 of about 3,295 (140)

Generalized Nonlinear Classification Model Based on Cross-Oriented Choquet Integral

Lecture Notes in Computer Science, 2012
A generalized nonlinear classification model based on cross-oriented Choquet integrals is presented. A couple of Choquet integrals are used in this model to achieve the classification boundaries which can classify data in such situation as one class surrounding another one in a high dimensional space. The values of unknown parameters in the generalized
Rong Yang, Zhenyuan Wang
exaly   +2 more sources

Nonlinear regression model based on Choquet integral with ε -Measure

2007 IEEE International Conference on Industrial Engineering and Engineering Management, 2007
H.-C. Liu, W.-C. Lin, K.-Y. Chang, W.-S. Weng   +3 more
exaly   +2 more sources

Fuzzy nonlinear regressions based on fuzzy choquet integrals

Journal of Intelligent & Fuzzy Systems, 2015
In this paper, we first introduce two kinds of aggregation tools: fuzzy Choquet integrals, one is the fuzzy Choquet integral of fuzzy-valued functions with respect to fuzzy measure, the another is the fuzzy Choquet integral of real-valued functions with respect to fuzzy-valued fuzzy measure.
Ai-bing Ji, Hong-jie Qiu, Jia-hong Pang
openaire   +2 more sources

Nonlinear functionals on C(X) and Choquet integrals

Fuzzy Sets and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On pseudo gradient search for solving nonlinear multiregression with the Choquet integral

2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013
The objective function in some real optimization problems may not be differentiable with respect to the unknown parameters at some points such that the gradient does not exist at those points. Replacing the classical gradient search, the method of pseudo gradient search has been proposed and used for solving nonlinear optimization problems, such as ...
Bo Guo 0004, Li Zhang-Westman, Zhenyuan Wang   +2 more
openaire   +1 more source

Convergence theorems for sequences of Choquet integrals and the stability of nonlinear integral systems

Proceedings of North American Fuzzy Information Processing, 2002
In the last 20 years, the theoretical as well as practical significance of nonadditive set functions and nonlinear integrals has increasingly been recognized. The Choquet integral with respect to nonadditive monotone set functions is one kind of nonlinear functionals defined on a subspace of all real-valued measurable functions.
G.J. Klir, Z. Wang
openaire   +1 more source

Pseudo gradient search for solving nonlinear multiregression based on the Choquet integral

2009 IEEE International Conference on Granular Computing, 2009
In some real optimization problems, the objective function may not be differentiable with respect to the unknown parameters at some points such that the gradient does not exist at those points. Replacing the classical gradient, this paper tries to use pseudo gradient search for solving a nonlinear optimization problem—nonlinear multiregression based on
Bo Guo 0004, Wei Chen, Zhenyuan Wang
openaire   +1 more source

Solving nonlinear programming problems based on the Choquet integral by a genetic algorithm

Journal of Intelligent & Fuzzy Systems, 2015
Abstract Nonadditive set functions represent contribution rate of individual feature attributes and combinations of feature attributes toward the target. Their nonadditivity describes the interaction among contributions. The generalized weighted Choquet integral with respect to a nonadditive set function serves as
Naomi Kochi, Zhenyuan Wang
openaire   +1 more source

A Hybrid Nonlinear Classifier Based on Generalized Choquet Integrals

2004
In this new hybrid model ofnonlinear classifier, unlike the classical linear classifier where the feature attributes influence the classifying attribute independently, the interaction among the influences from the feature attributes toward the classifying attribute is described by a signed fuzzy measure. An optimized Choquet integral with respect to an
Zhenyuan Wang, Hai-Feng Guo, Yong Shi 0001, Kwong-Sak Leung   +3 more
openaire   +1 more source

A new genetic algorithm for nonlinear multiregressions based on generalized Choquet integrals

The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., 2004
This paper gives a new genetic algorithm for nonlinear multiregression based on generalized Choquet integrals with respect to signed fuzzy measures. Unlike the previous work where the values of the signed fuzzy measure are determined by random search in a genetic algorithm with other regression coefficients together; in this new algorithm, they are ...
Zhenyuan Wang, Hai-Feng Guo
openaire   +1 more source